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Finding the Fourth Proportional to 597.48, 824.44 and 348.80

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Solution

The fourth proportional to 597.48, 824.44 and 348.80 is: 481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.48 : 824.44 = 348.80 : x
  2. Step 2: Convert to fraction form
    597.48/824.44 = 348.80/x
  3. Step 3: Cross multiply
    597.48x = 824.44 × 348.80
  4. Step 4: Simplify right side
    597.48x = 287,564.67
  5. Step 5: Solve for x
    x = 287,564.67/597.48
  6. Step 6: Final answer
    x = 481.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.